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U3D6 Solving Radical Equations Feb25

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Last updated 9 months ago
16 questions
Note from the author:
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WARM UP
Simplify each expression so that you only have positive exponents.
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Question 1
1.
_______
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Question 2
2.
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Question 3
3.
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Link to the video:
https://www.youtube.com/watch?v=5gRzztTSRnM
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Question 7
7.
Solve the radical equation.

x = _______
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Question 8
8.
Solve the radical equation.

x = _______
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Question 9
9.
Solve the radical equation.
Isolate the radical before squaring.

x = _______
Question 10
10.
Solve the radical equation.
Isolate the radical before squaring.

x = _______

Always check your answer. Plug your solution back into the equation to be sure it works.
Does your solution work? _______
Question 11
11.
Solve the radical equation.
Isolate the radical before squaring.

x = _______

Always check your answer. Plug your solution back into the equation to be sure it works.
Does your solution work? _______
Question 12
12.
Solve the radical equation.
Isolate the radical before squaring.

x = _______

Always check your answer. Plug your solution back into the equation to be sure it works.
Does your solution work? _______

You get an answer, but it doesn't work. This is called an extraneous solution.

Question 13
13.
Solve the radical equation.

x = _______

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Question 14
14.
Solve for x.

x =_______

This equation has extraneous solutions. They are _______ and _______ .
Question 15
15.
Solve for x.

The solution is x = _______ only.

The extraneous solution is _______ .
Question 16
16.
Solve the cube root.

x = _______
Need help solving quadratic equations?
Watch the videos below.
Question 4
4.

How are these different?

Question 5
5.
Solve the equation.

x = _______
Question 6
6.
Solve the equation.

x = _______ and _______ .
(two different solutions)